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Find an equation of the ellipse that has center (-2,4), a minor axis of length 12, and a vertex at (5, 4).

User Itay
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1 Answer

17 votes
17 votes

Given:

The centre of the ellipse = (-2,4),

A minor axis length a= 12 ,

And distence from the vertex(5,4) to centre ,


\begin{gathered} b=\sqrt[]{(5-(-2))^2+(4-4)^2} \\ =\sqrt[]{(5+2)^2+0} \\ =\sqrt[]{7^2} \\ =7 \end{gathered}

The equation of ellipse is ,


\begin{gathered} ((x-(-2))^2)/(7^2)+((y-4)^2)/(12^2)=1 \\ ((x+2)^2)/(49)+((y-4)^2)/(144)=1 \\ \end{gathered}

User Virmundi
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